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Finding the Fourth Proportional to 201,446.02, 301,910.37 and 83,200.60

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Solution

The fourth proportional to 201,446.02, 301,910.37 and 83,200.60 is: 124,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.02 : 301,910.37 = 83,200.60 : x
  2. Step 2: Convert to fraction form
    201,446.02/301,910.37 = 83,200.60/x
  3. Step 3: Cross multiply
    201,446.02x = 301,910.37 × 83,200.60
  4. Step 4: Simplify right side
    201,446.02x = 25,119,123,930.22
  5. Step 5: Solve for x
    x = 25,119,123,930.22/201,446.02
  6. Step 6: Final answer
    x = 124,694.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.